Desynchronization bifurcation of coupled nonlinear dynamical systems

Acharyya, Suman ; Amritkar, R. E. (2011) Desynchronization bifurcation of coupled nonlinear dynamical systems Chaos: An Interdisciplinary Journal of Nonlinear Science, 21 (2). 023113. ISSN 1054-1500

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Official URL: http://doi.org/10.1063/1.3581154

Related URL: http://dx.doi.org/10.1063/1.3581154

Abstract

We analyze the desynchronization bifurcation in the coupled Rössler oscillators. After the bifurcation the coupled oscillators move away from each other with a square root dependence on the parameter. We define system transverse Lyapunov exponents (STLE), and in the desynchronized state one is positive while the other is negative. We give a simple model of coupled integrable systems with quadratic nonlinearity that shows a similar phenomenon. We conclude that desynchronization is a pitchfork bifurcation of the transverse manifold. Cubic nonlinearity also shows the bifurcation, but in this case the STLEs are both negative.

Item Type:Article
Source:Copyright of this article belongs to American Institute of Physics
ID Code:130405
Deposited On:29 Nov 2022 11:55
Last Modified:29 Nov 2022 11:55

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